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Finding the Fourth Proportional to 38,676.16, 53,316.68 and 27,310.24

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Solution

The fourth proportional to 38,676.16, 53,316.68 and 27,310.24 is: 37,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,676.16 : 53,316.68 = 27,310.24 : x
  2. Step 2: Convert to fraction form
    38,676.16/53,316.68 = 27,310.24/x
  3. Step 3: Cross multiply
    38,676.16x = 53,316.68 × 27,310.24
  4. Step 4: Simplify right side
    38,676.16x = 1,456,091,326.80
  5. Step 5: Solve for x
    x = 1,456,091,326.80/38,676.16
  6. Step 6: Final answer
    x = 37,648.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.